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Finding the Fourth Proportional to 7,762.52, 10,706.01 and 5,073.53

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Solution

The fourth proportional to 7,762.52, 10,706.01 and 5,073.53 is: 6,997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.52 : 10,706.01 = 5,073.53 : x
  2. Step 2: Convert to fraction form
    7,762.52/10,706.01 = 5,073.53/x
  3. Step 3: Cross multiply
    7,762.52x = 10,706.01 × 5,073.53
  4. Step 4: Simplify right side
    7,762.52x = 54,317,209.39
  5. Step 5: Solve for x
    x = 54,317,209.39/7,762.52
  6. Step 6: Final answer
    x = 6,997.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.